Theorem 4.6.1- If two pairs of opposite sides of a quadrilateral are congruent,then it's a parallelogram. Theorem 4.6.2- If one pair of opposite sides of a quadrilateral and parallel and congruent, then the quadrillateral is a parallelogram. Theorem 4.6.3- If the diagonals bisect eachother, then it's a parallelogram. Theorem 4.6.4- If one angle of a parallelogram shape is a right angle, the paralellogram is a rectangle. Housebuilder Theorem- If the diagonals of a parallelogram are congruent, the parallelogram is a rectangle. Theorem 4.6.6- If one pair of adjacent sides of a quadrilateral are congruent, the quadrilateral is a rhombus. Theorem 4.6.7- If the diagonals of a parallelogram bisect its angles, it's a rhombus. Theorem 4.6.8- Diagonals of a paralellogram are perpendicular, the paralellogram is a rhombus. Triangle Midsegment Theorem- Midsegments of a triangle are parallel to the side of a triangle, the length is equal to half the length of that side.
Theorem 4.6.2- If one pair of opposite sides of a quadrilateral and parallel and congruent, then the quadrillateral is a parallelogram.
Theorem 4.6.3- If the diagonals bisect eachother, then it's a parallelogram.
Theorem 4.6.4- If one angle of a parallelogram shape is a right angle, the paralellogram is a rectangle.
Housebuilder Theorem- If the diagonals of a parallelogram are congruent, the parallelogram is a rectangle.
Theorem 4.6.6- If one pair of adjacent sides of a quadrilateral are congruent, the quadrilateral is a rhombus.
Theorem 4.6.7- If the diagonals of a parallelogram bisect its angles, it's a rhombus.
Theorem 4.6.8- Diagonals of a paralellogram are perpendicular, the paralellogram is a rhombus.
Triangle Midsegment Theorem- Midsegments of a triangle are parallel to the side of a triangle, the length is equal to half the length of that side.